Use the results of the two previous problems to showthat events simultaneous in one system are not simultaneousin another system moving with respect to thefi rst. Consider a spacetime diagram with x, ct and x,ct axes drawn such that the origins coincide and theclocks were synchronized at t t 0. Then considerevents 1 and 2 that occur simultaneously in the fi xedsystem. Are they simultaneous in the moving system?

PHYS 242 BLOCK 3 NOTES Sections 24.1, 24.3 to 24.6 Suppose we have two conductors of any shape that are insulated from one another. Conductor a has a positive excess charge Q (in C) on it. Conductor b has a negative excess charge –Q on it. This Q is called the charge stored. We consider only cases in which the potential differeace V b V =ab (in V) is directly proportional toQ. Then the ratio ofQ tis a constant and the equation C ≡ defines the capacitance C ab V ab coulomb C (in F = farad = volt = V ). (Don’t confuse the capacitance C with the charge unit C = coulomb.) The capacitanceC is never negative. Also, the quQ andV abe never negative in the above defining equation. A capacitor is a circuit element that mainly provides capacitance.Example 24.3 could be improved by ⌠ 1 q showing Vab= V a V b ⌡E cos φ dl with E = 4πε 0r2 and φ = 0 gives theab used. Example 24.4 could be a λ similarly improved by showingE2πε r andφ = 0 gives theabused (as we did forb and a in class in Block 2). 0 For varying values, let’s use υ abrand q for Q. Then C = Q solves to υ =q . In moving an Vab C q infinitesimal ch